1999
DOI: 10.1109/68.789715
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Time-domain finite-difference beam propagation method

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Cited by 17 publications
(17 citation statements)
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“…The pulse break up phenomenon due to intermodal dispersion was first observed and explored qualitatively by Chiang (2005Chiang ( , 1997, using the approximate traditional coupled-mode theory (Marcuse 1991;Snyder and Love 1983), based on simplified one dimensional coupled Time-Domain (TD) parabolic equations. It is to be observed at this point that TD parabolic equation showed severe limitation in modeling short pulses due to the paraxial approximation involved (Masoudi et al 1999(Masoudi et al , 2001. As the initial pulse duration decreases the spatiotemporal coupling effect becomes more significant for the proper propagation of ultra short pulses.…”
mentioning
confidence: 94%
“…The pulse break up phenomenon due to intermodal dispersion was first observed and explored qualitatively by Chiang (2005Chiang ( , 1997, using the approximate traditional coupled-mode theory (Marcuse 1991;Snyder and Love 1983), based on simplified one dimensional coupled Time-Domain (TD) parabolic equations. It is to be observed at this point that TD parabolic equation showed severe limitation in modeling short pulses due to the paraxial approximation involved (Masoudi et al 1999(Masoudi et al , 2001. As the initial pulse duration decreases the spatiotemporal coupling effect becomes more significant for the proper propagation of ultra short pulses.…”
mentioning
confidence: 94%
“…On the other hand, multilayer waveguides are important in design of biosensors and filters [11,12]. Equation of wave for plannar waveguides has been solved by several methods [13][14][15][16][17], and method of Lines (MOL) is one of them. MOL due to high accuracy, less computational time and smaller memory requirement compared to other methods which have been applied to multilayer waveguides, is important.…”
Section: Introductionmentioning
confidence: 99%
“…One way to model long optical devices of TD interaction is to use the BPM principle of one way propagation. A few years back we proposed two efficient paraxial TD-BPM techniques for that purpose [12,13]. The techniques were very useful for short optical pulse durations, but failed to model ultra short pulses because of the paraxial approximation involved.…”
Section: Introductionmentioning
confidence: 99%
“…The method uses Pade recurrence approximation after the negligence of a few operator derivatives. In this work we developed a new nonparaxial time-domain BPM based on the same principle of the paraxial TD-BPM given in [12,13]. First, the TD wave equation was written as a one-way propagational operator and then the recently developed rational complex coefficient approximation of the well known Pade approximant has been used to break the paraxial difficulty [15][16][17][18].…”
Section: Introductionmentioning
confidence: 99%